Filtering in Rotated Time-Frequency Domains With Unknown Noise Statistics

Authors:
Suba R. Subramaniam;Bingo Wing-Kuen Ling;Apostolos Georgakis
Affiliations:
Division of Engineering, King's College London, London, U.K.;School of Engineering, University of Lincoln, Lincolnshire, U.K.;Division of Engineering, King's College London, London, U.K.
Venue:
IEEE Transactions on Signal Processing
Year:
2012

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Signal Processing

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Abstract

The concept of rotation in the joint time-frequency plane can be exploited in order to generalize classical Fourier-based operations. It is known that filtering in rotated time-frequency domains can lead to significant performance advantages for certain types of signals as compared to conventional linear time invariant systems. In this correspondence, we revisit the design problem of such a scheme and derive a formulation that does not require knowledge of the statistics of the corrupting noise. Simulations have been used to confirm the validity of the proposed solution.